Use double angle formulas to find the exact value of sin2x,cos2x, and tan2xsinx=12/13, 0<x<pi/2

Answers

Answer 1

Answer: sin2x = 2sinxcosx;
cos2x = (cosx)^2 - (sinx)^2;
tan2x = (sin2x)/(cos2x);

cosx = 5/13 from formula (sinx)^2 + (cosx)^2 = 1;

=> sin2x = 120/169;
.................................

Related Questions

Seven Friends divide three bags of apples equally between them. Enter the division represented by this situation as a fraction .
An angle that is greater than 90 degreesis called a _______.
Ben takes a random sample of 25 students in his seventh grade class and finds that 85% of the sample prefers math over science.there are 150 students in the seventh grade.based on the sample proportion,about how many students in the seventh grade would be expected to prefer math over science
If ON=5X-7,LM=4X+4NM=X-7 and OL=3Y-4 find the values of x and y for which LMNO must be a parallelogram. The diagram is not to scale. a. x = 11,y = 8/3b. x = 4,y = 3/8 c. x = 11,y = 3/8d. x = 4,y = 8/3
When I started here, there were 500 employees. Since then, we have added 35% more employees, so we now have a total of __________ employees.

The binomial expression (x+2) (x+3) can be rewritten by using the distributive laws as x(x+3) + 2(x-3)x(x+2) - 3(x+2)
x(x+3) + 2(x+3)
x(x+3) + 2(x+3)

Answers

Answer:

my answer is x(x+3) + 2(x - 3)

Answer:

thanks for the information

Step-by-step explanation:

In a different plan for area codes, the first digit could be any number from 4 through 8, the second digit was either 3, 4, 5, or 6, and the third digit could be any number exceptnbsp 2 or 5. with this plan, how many different area codes are possible?

Answers

The possible area codes for different plan are $160$ .

Step-by-step explanation:

Given: In a different plan for area codes, the first digit could be any number from $4$ through $8$ , the second digit was either $3,\;4,\;5,\;\rm{or}\;6$ and the third digit could be any number except $2\;\rm{or}\;5$ .

As mentioned in question:

Area codes are created by digits as:

first digit could be any number from $4$ through $8$ are $4,\;5,\;6,\;7,\;8$ .

Second digit are $3,\;4,\;5,\;\rm{or}\;6$

And third digit couldbe any number except $2\;\rm{or}\;5$ are $1,3,4,6,7,8,9,0$ .

Total number of area codes are $5*4*8=160$ .

Hence, the possible area codes are $160.$

Learn about possible codes here:

brainly.com/question/23225459?referrer=searchResults

Final answer:

In a different plan for area codes, there are 140 possible codes.

Explanation:

In a different plan for area codes, the first digit could be any number from 4 through 8, the second digit was either 3, 4, 5, or 6, and the third digit could be any number except 2 or 5. To calculate the total number of possible area codes, we need to multiply the number of choices for each digit.

For the first digit, there are 5 choices (4, 5, 6, 7, 8).

For the second digit, there are 4 choices (3, 4, 5, 6).

For the third digit, there are 7 choices (0, 1, 3, 4, 6, 7, 8).

To find the total number of possible area codes, we multiply these choices together: 5 x 4 x 7 = 140.

Learn more about Area codes here:

brainly.com/question/33856218

#SPJ11

Explain how to use a coordinate plane to find the area of a rectangle with vertices (–4, 9), (–4, –3), (–1, –3), and (–1, 9). what is the area?

Answers

We want to use a coordinate plane to find the area of the given rectangle.

We will see that the area is 36 units squared.

So we only know the vertices of the rectangle, which are:

(-4, 9)
(-4, -3)
(-1, -3)
(-1, 9).

The first thing we can do, is graph these in a coordinate axis so we can see our rectangle.

Below you can see the graph of the rectangle where the four vertices are graphed and I drew the sides of the rectangle.

Now that it is graphed is easy to see the measures of each side, one side measures 3 units (from -1 to -4 on the x-value) and the other side measures 12 units (from -3 to 9 on the y-value)

Then the area of the rectangle is:

A = 3*12 = 36 square units.

If you want to learn more about rectangles and areas, you can read:

brainly.com/question/17297081

the formula for area of a rectangle is

Area = length x width

since both the length and the width of the rectangle lie on the same x and y axis, we can find the distance between the width and the distance between the length by subtracting

(-4,9) (-4,-3)

these points lie on the same x axis, so they create a vertical line

9-(-3) = 12

12 units is the distance between them

(-4,-3) (-1,-3)

these points lie on the same y axis, so they create a horizontal line

-1-(-4) = 3

3 units is the distance between them

now that we have the length and the width, we can find the area

A = 12 x 3

A = 36 units²

The difference of six times a number and 7 is -49

Answers

6x - 7 = -49
+ 7. +7
6x = -42
x = -7

What is the distance between points A begin ordered triple (0,0,8) end ordered triple and B begin ordered triple (0,6,0) end ordered triple?Answer is 10 units, but why is this rational?

Answers

Step 1: Obtain the difference vector AB= (0-0, 0-6, 8-0)=(0, -6, 8) it size (module) is the distance between A and B Step 2: Add-Up the squares of its components: 0^2+(-6)^2 + 8^2=100 Step3: Extract the squareroot of the above: sqrt(100)=10 Voilá!

True or false: is a rectangular also a square

Answers

I do not believe so, because a square is in the rectangle family. If a rectangle was in the square family, it would have to have all sides the same length, wich wouldnt make it a rectangle anymore.

Other Questions

Subtract exponents 9x10 3 -1x10 4

-4/3,4/9,-4/27,4/81,-4/243...what is the common ratio! HELP ASAP

• Buyers are charged a shipping fee of $4.75 for each scarf order.Which expression can you use to find the total price of a scarf order?48s - 4.754.758 - 4848s + 4.754.75s + 48HELP NOW PLSSS I BEG YOU

Patti is using mental math to evaluate the expression (70 + 12.8 + 30) + 6.1. She recognizes that the expression will be easier to simplify if she can combine 70 and 30 before she works with the other numbers. How do the properties of operations allow Patti to take that approach?